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Simplifying -3(y + 1) = 5y + -27 Reorder the terms: -3(1 + y) = 5y + -27 (1 * -3 + y * -3) = 5y + -27 (-3 + -3y) = 5y + -27 Reorder the terms: -3 + -3y = -27 + 5y Solving -3 + -3y = -27 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -3 + -3y + -5y = -27 + 5y + -5y Combine like terms: -3y + -5y = -8y -3 + -8y = -27 + 5y + -5y Combine like terms: 5y + -5y = 0 -3 + -8y = -27 + 0 -3 + -8y = -27 Add '3' to each side of the equation. -3 + 3 + -8y = -27 + 3 Combine like terms: -3 + 3 = 0 0 + -8y = -27 + 3 -8y = -27 + 3 Combine like terms: -27 + 3 = -24 -8y = -24 Divide each side by '-8'. y = 3 Simplifying y = 3
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